Results 11 to 20 of about 1,838 (225)

Some General Fractional Integral Inequalities Involving LR–Bi-Convex Fuzzy Interval-Valued Functions

Fractal and Fractional, 2022
The main objective of this paper is to introduce a new class of convexity called left-right–bi-convex fuzzy interval-valued functions. We study this class from the perspective of fractional Hermite–Hadamard inequalities, involving a new fractional ...
Bandar Bin-Mohsin, Sehrish Rafique, Clemente Cesarano, Muhammad Zakria Javed, Muhammad Uzair Awan, Artion Kashuri, Muhammad Aslam Noor   +6 more
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Hermite–Hadamard-Type Inequalities for h-Godunova–Levin Convex Fuzzy Interval-Valued Functions via Riemann–Liouville Fractional q-Integrals

Fractal and Fractional
In this study, we develop new Hermite–Hadamard and Hermite–Hadamard–Fejér type inequalities for fuzzy interval-valued functions (FIVFs) that exhibit h-Godunova–Levin convexity, using the framework of the Riemann–Liouville fractional (RLF) q-integral.
Muhammad Waseem Akram, Sajid Iqbal, Asfand Fahad, Yuanheng Wang   +3 more
doaj   +2 more sources

Integral Inequalities for Generalized Harmonically Convex Functions in Fuzzy-Interval-Valued Settings [PDF]

Symmetry, 2021
It is a well-known fact that convex and non-convex fuzzy mappings play a critical role in the study of fuzzy optimization. Due to the behavior of its definition, the idea of convexity also plays a significant role in the subject of inequalities. The concepts of convexity and symmetry have a tight connection.
Muhammad Bilal Khan, Pshtiwan Othman Mohammed, José António Tenreiro Machado, Juan Luis García Guirao   +3 more
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Some Fuzzy Riemann–Liouville Fractional Integral Inequalities for Preinvex Fuzzy Interval-Valued Functions [PDF]

Symmetry, 2022
The main objective of this study is to introduce new versions of fractional integral inequalities in fuzzy fractional calculus utilizing the introduced preinvexity. Due to the behavior of its definition, the idea of preinvexity plays a significant role in the subject of inequalities.
Muhammad Bilal Khan, Hatim Ghazi Zaini, Jorge Eduardo Macías-Díaz, Savin Treanta, Mohamed S. Soliman   +4 more
openaire   +1 more source

Some Integral Inequalities for Generalized Convex Fuzzy-Interval-Valued Functions via Fuzzy Riemann Integrals [PDF]

International Journal of Computational Intelligence Systems, 2021
AbstractIn this study, we introduce the new concept of $$h$$ h -convex fuzzy-interval-valued functions. Under the new concept, we present new versions of Hermite–Hadamard inequalities (H–H inequalities) are called fuzzy-interval Hermite–Hadamard type inequalities for $$h$$ h -convex ...
Muhammad Bilal Khan, Muhammad Aslam Noor, Pshtiwan Othman Mohammed, Juan Luis García Guirao, Khalida Inayat Noor   +4 more
openaire   +1 more source

Interval-Type Fuzzy Linear Fractional Programming Problem in Neutrosophic Environment: A Fuzzy Mathematical Programming Approach [PDF]

Neutrosophic Sets and Systems, 2021
This article proposes an interval-valued fuzzy linear fractional programming (LFP) problem, where the coefficients in the objective functions are assumed to be single-valued trapezoidal fuzzy neutrosophic numbers. In addition to this, the coefficients in
A Hamiden Abd El-Wahed Khalifa, Pavan Kumar   +1 more
doaj   +1 more source

Correlation Coefficients of Interval-Valued Pythagorean Hesitant Fuzzy Sets and Their Applications

IEEE Access, 2020
An interval-valued Pythagorean hesitant fuzzy set (IVPHFS) not only can be regarded as the union of some interval-valued Pythagorean fuzzy sets but also represent the Pythagorean hesitant fuzzy elements in the form of interval values.
Tingting Zheng, Maoyin Zhang, Longmei Li, Qiuyue Wu, Ligang Zhou   +4 more
doaj   +1 more source

Some new versions of integral inequalities for log-preinvex fuzzy-interval-valued functions through fuzzy order relation

Alexandria Engineering Journal, 2022
In this paper, firstly we define the new class of log-preinvex fuzzy-interval-valued functions which is called log-h-preinvex fuzzy-interval-valued functions (log-h-preinvex FIVFs) by means of fuzzy order relation.
Muhammad Bilal Khan, Hari Mohan Srivastava, Pshtiwan Othman Mohammed, Jorge E. Macías-Díaz, Y.S. Hamed   +4 more
doaj   +1 more source

Membership Score of an Interval-Valued Pythagorean Fuzzy Numbers and Its Applications

IEEE Access, 2023
The main aim of the paper is to define a new Membership score function on the class of interval-valued Pythagorean fuzzy numbers, which can overcome the drawbacks of existing familiar ranking methods.
Melfi A. Alrasheedi, S. Jeevaraj
doaj   +1 more source

Some new Jensen, Schur and Hermite-Hadamard inequalities for log convex fuzzy interval-valued functions

AIMS Mathematics, 2022
<abstract> <p>The inclusion relation and the order relation are two distinct ideas in interval analysis. Convexity and nonconvexity create a significant link with different sorts of inequalities under the inclusion relation. For many classes of convex and nonconvex functions, many works have been devoted to constructing and refining ...
Muhammad Bilal Khan, H. M. Srivastava, Pshtiwan Othman Mohammed, Kamsing Nonlaopon, Y. S. Hamed   +4 more
openaire   +2 more sources